Such "fragile" behavior of the chimeras in classical Kuramoto model is overcome by the accounting of inertia. Although the chimera chaotic wandering becomes even more pronounced (identified as ”imperfect chimera state” [1]}), there arises a new type of the chimeric behavior, called solitary states [2]}, [3]}. They represent an essential sub-class of the weak chimera states [4]}, in which only one or a few oscillators split up from the main synchronized cluster and start to rotate with different average frequency (Poincaré winding number). Solitary states appear to be qualitatively different from the classical chimeras discovered originally in [5]}, [6]}. They do not wander in space and mathematically, are Lyapunov stable states (standing waves) in the system phase space. Recently, the existence of the solitary states has been also reported in small networks [7]}, adaptive [8]}, multiplex [9]}, and power grid [10]} systems, as well as in the mean-field limit [11]}.
